Analysis Seminar

The sufficiency of c-cyclical monotonicity for the optimality of transport plans

by Anna Maria Kausamo (Università degli Studi di Firenze)

Sala Riunioni (Dipartimento di Matematica)

Sala Riunioni

Dipartimento di Matematica


c-cyclical monotonicity is the most important optimality condition of a transport plan. In this talk I will present a Gamma-convergence-based strategy, developed by myself and Luigi De Pascale, to prove the sufficiency of cyclical monotonicity for optimality in the multi-marginal L^infty-optimal transport case that had previously been elusive.